{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Statistics (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normality Tests"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Benchmark Case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "uuid": "b5c2a3e0-81d2-4aab-bee0-a9239fc9ffa6"
   },
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import scipy.stats as scs\n",
    "import statsmodels.api as sm\n",
    "from pylab import mpl, plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "uuid": "596ccb67-e163-4f15-95e8-80362bdade98"
   },
   "outputs": [],
   "source": [
    "def gen_paths(S0, r, sigma, T, M, I):\n",
    "    ''' Generate Monte Carlo paths for geometric Brownian motion.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    S0: float\n",
    "        initial stock/index value\n",
    "    r: float\n",
    "        constant short rate\n",
    "    sigma: float\n",
    "        constant volatility\n",
    "    T: float\n",
    "        final time horizon\n",
    "    M: int\n",
    "        number of time steps/intervals\n",
    "    I: int\n",
    "        number of paths to be simulated\n",
    "        \n",
    "    Returns\n",
    "    =======\n",
    "    paths: ndarray, shape (M + 1, I)\n",
    "        simulated paths given the parameters\n",
    "    '''\n",
    "    dt = T / M\n",
    "    paths = np.zeros((M + 1, I))\n",
    "    paths[0] = S0\n",
    "    for t in range(1, M + 1):\n",
    "        rand = np.random.standard_normal(I)\n",
    "        rand = (rand - rand.mean()) / rand.std()  \n",
    "        paths[t] = paths[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt +\n",
    "                                         sigma * math.sqrt(dt) * rand)  \n",
    "    return paths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "7b6ba027-7f3c-43ee-a297-66599a4c9ac2"
   },
   "outputs": [],
   "source": [
    "S0 = 100.  \n",
    "r = 0.05  \n",
    "sigma = 0.2  \n",
    "T = 1.0   \n",
    "M = 50  \n",
    "I = 250000  \n",
    "np.random.seed(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "abdf423c-dc32-4528-8781-12e05a6703cd"
   },
   "outputs": [],
   "source": [
    "paths = gen_paths(S0, r, sigma, T, M, I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "105.12710963760242"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0 * math.exp(r * T)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "105.12645392478755"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths[-1].mean()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "133e6168-692d-4aa7-8b8d-81d21e1d21e9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(paths[:, :10])\n",
    "plt.xlabel('time steps')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch13/stat_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "uuid": "4fe20e49-2c58-454c-a086-14c2f2901dba"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([100.    ,  97.821 ,  98.5573, 106.1546, 105.899 ,  99.8363,\n",
       "       100.0145, 102.6589, 105.6643, 107.1107, 108.7943, 108.2449,\n",
       "       106.4105, 101.0575, 102.0197, 102.6052, 109.6419, 109.5725,\n",
       "       112.9766, 113.0225, 112.5476, 114.5585, 109.942 , 112.6271,\n",
       "       112.7502, 116.3453, 115.0443, 113.9586, 115.8831, 117.3705,\n",
       "       117.9185, 110.5539, 109.9687, 104.9957, 108.0679, 105.7822,\n",
       "       105.1585, 104.3304, 108.4387, 105.5963, 108.866 , 108.3284,\n",
       "       107.0077, 106.0034, 104.3964, 101.0637,  98.3776,  97.135 ,\n",
       "        95.4254,  96.4271,  96.3386])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths[:, 0].round(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "c9a7ad7d-921d-4b03-a81e-bff7d6e60b8e"
   },
   "outputs": [],
   "source": [
    "log_returns = np.log(paths[1:] / paths[:-1]) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "cd6ee063-9463-405d-96bd-2ad1231d7e7f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.022 ,  0.0075,  0.0743, -0.0024, -0.059 ,  0.0018,  0.0261,\n",
       "        0.0289,  0.0136,  0.0156, -0.0051, -0.0171, -0.0516,  0.0095,\n",
       "        0.0057,  0.0663, -0.0006,  0.0306,  0.0004, -0.0042,  0.0177,\n",
       "       -0.0411,  0.0241,  0.0011,  0.0314, -0.0112, -0.0095,  0.0167,\n",
       "        0.0128,  0.0047, -0.0645, -0.0053, -0.0463,  0.0288, -0.0214,\n",
       "       -0.0059, -0.0079,  0.0386, -0.0266,  0.0305, -0.0049, -0.0123,\n",
       "       -0.0094, -0.0153, -0.0324, -0.0269, -0.0127, -0.0178,  0.0104,\n",
       "       -0.0009])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns[:, 0].round(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings; warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "uuid": "77290ae6-4035-42a6-8312-ec89da50f88b"
   },
   "outputs": [],
   "source": [
    "def print_statistics(array):\n",
    "    ''' Prints selected statistics.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    array: ndarray\n",
    "        object to generate statistics on\n",
    "    '''\n",
    "    sta = scs.describe(array)\n",
    "    print('%14s %15s' % ('statistic', 'value'))\n",
    "    print(30 * '-')\n",
    "    print('%14s %15.5f' % ('size', sta[0]))\n",
    "    print('%14s %15.5f' % ('min', sta[1][0]))\n",
    "    print('%14s %15.5f' % ('max', sta[1][1]))\n",
    "    print('%14s %15.5f' % ('mean', sta[2]))\n",
    "    print('%14s %15.5f' % ('std', np.sqrt(sta[3])))\n",
    "    print('%14s %15.5f' % ('skew', sta[4]))\n",
    "    print('%14s %15.5f' % ('kurtosis', sta[5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "57ac0ad6-14c7-4158-b67b-b553d662dc21"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic           value\n",
      "------------------------------\n",
      "          size  12500000.00000\n",
      "           min        -0.15664\n",
      "           max         0.15371\n",
      "          mean         0.00060\n",
      "           std         0.02828\n",
      "          skew         0.00055\n",
      "      kurtosis         0.00085\n"
     ]
    }
   ],
   "source": [
    "print_statistics(log_returns.flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05000000000000005"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.mean() * M + 0.5 * sigma ** 2  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.20000000000000015"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.std() * math.sqrt(M)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "1bb98c2c-002b-4e19-88af-ae23db1a673f"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(log_returns.flatten(), bins=70, normed=True,\n",
    "         label='frequency', color='b')\n",
    "plt.xlabel('log return')\n",
    "plt.ylabel('frequency')\n",
    "x = np.linspace(plt.axis()[0], plt.axis()[1])\n",
    "plt.plot(x, scs.norm.pdf(x, loc=r / M, scale=sigma / np.sqrt(M)),\n",
    "         'r', lw=2.0, label='pdf')  \n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch13/stat_02.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "75c069e5-c518-4fca-8b60-de465ba1a56b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.qqplot(log_returns.flatten()[::500], line='s')\n",
    "plt.xlabel('theoretical quantiles')\n",
    "plt.ylabel('sample quantiles');\n",
    "# plt.savefig('../../images/ch13/stat_03.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "a6e5cdd2-0e90-4b34-8c13-d52dfe7e897b"
   },
   "outputs": [],
   "source": [
    "def normality_tests(arr):\n",
    "    ''' Tests for normality distribution of given data set.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    array: ndarray\n",
    "        object to generate statistics on\n",
    "    '''\n",
    "    print('Skew of data set  %14.3f' % scs.skew(arr))\n",
    "    print('Skew test p-value %14.3f' % scs.skewtest(arr)[1])\n",
    "    print('Kurt of data set  %14.3f' % scs.kurtosis(arr))\n",
    "    print('Kurt test p-value %14.3f' % scs.kurtosistest(arr)[1])\n",
    "    print('Norm test p-value %14.3f' % scs.normaltest(arr)[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "d35f18c9-d798-47f7-85d4-dc09b0907134"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Skew of data set           0.001\n",
      "Skew test p-value          0.430\n",
      "Kurt of data set           0.001\n",
      "Kurt test p-value          0.541\n",
      "Norm test p-value          0.607\n"
     ]
    }
   ],
   "source": [
    "normality_tests(log_returns.flatten())  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "80629df6-776e-4849-872b-46b6b35d4eb0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'log data')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NWBwRxwBbUbp3JWnIDO4kqYfMvB545iDPWdRH+g30Erhl5mpqcChJw8luWUmSpAYxuJMkSWoQgztJkqQGMbiTJElqEIM7SZKkBnG2rCRJDXfQwkv6PHbW/D1GsCQaCbbcSZIkNYjBnSRJUoPYLStJ0gjor2tUGk623EmSJDWIwZ0kSVKDGNxJkiQ1iMGdJElSgxjcSZIkNUjHZstGxJbACcDPgM2BBzPz+Ig4Dti9JeuJmfmDes6RwHRgBnBxZp5f07cH3gvcAcwE5mXmExGxIbAYuBfYGliYmbd26p4kSZLGuk4uhbIp8LXMPA8gIm6OiCUAmbl7z8wRsTMwJzPfFBHrAzdHxOXA74Fzgddm5n0RcQpwIHAmcDhwd2Z+MiJm1bRXd/CeJEmSxrSOdctm5rXdgV3Lcz0MEBEfjYh5EXFUREytx/cGltZzHwduAXYDtgA2ysz7ar4rgbn157kt59wIbBcR0zt1T5IkSWPdiCxiHBH7ABdl5i8j4pvAnZn5cEQcCnwGOJjS3XpLy2kra9oyYFUv6dT/ezu2sq+yzJgxlSlTJg/xjp6qq2vasF6vycbrazVeyz0UE/GeJakJOh7cRcQcYA6lC5XMvKnl8CXAkfXnB4DWT5PpNa2v9P7O6dPy5Y8M7gYG0NU1jWXLVg2cUQDj8rWaiO9x0+7ZQFXSRNLR2bIRMRfYCzgM2CwiZkfEopYsWwO31Z8vAGbX86YA2wKXA7cDqyNis5pvF2BJ/XlJyzmzgJ9nZp+tdpIkSU3XydmyOwJfB64DLgU2Bk4HnoiI0ygtbLMos2DJzKsj4tKIWECZLXtEZq6o19oPODEi7gImA+fUpzkNWBwRxwBbUbp3JUmSJqyOBXeZeT3wzEGes6iP9BvoJXDLzNXU4FCSJEkuYixJktQoBneSJEkNYnAnSZLUIAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgBneSJEkNYnAnSZLUIAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgBneSJEkNYnAnSZLUIFNGuwCaWA5aeEm/x8+av8cIlUSSpGay5U6SJKlBDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUGcLdtQA81KlSRJzWTLnSRJUoMY3EmSJDWI3bKS1ENEbAmcAPwM2Bx4MDOPj4hNgYXA7cDWwNGZeX8950hgOjADuDgzz6/p2wPvBe4AZgLzMvOJiNgQWAzcW6+1MDNvHcHblNRQttxJ0tNtCnwtMxdl5mHAvhGxI7AA+GFmLgS+QwnOiIidgTmZeSzwQeCUiNgkIiYB5wLHZuYCYA1wYH2Ow4G7M/Mk4FTgzBG8P0kNZnAnST1k5rWZeV5L0nrAw8BcYGlNu7I+Bti7Oz0zHwduAXYDtgA2ysz7ejlnbss5NwLbRcT0jtyQpAnFbllJ6kdE7ANclJm/jIiZwKp6aCUwIyKmULpbb2k5bWVNW9aSvzWd+n9vx1b2V54ZM6YyZcrktsre1TWtrXydZjnGttF+XUb7+bs1qRwGd5LUh4iYA8yhdKECPABMA1ZQxtctr+PnutO7Ta95+0pngGN9Wr78kbbK3tU1jWXLVg2cscMsx9g3mq/LWHlfxnI51iXYs1tWknoREXOBvYDDgM0iYjawBJhds+xSHwNc0J1eW/K2BS6nTLxYHRGb9XLOkpZzZgE/z8x+W+0kqR223ElSD3XyxNeB64BLgY2B04GjgZMjYhtgS2AeQGZeHRGXRsQCymzZIzJzRb3WfsCJEXEXMBk4pz7NacDiiDgG2Ao4eKTuT2o10KL3Z83fY4RKouFicCdJPWTm9cAz+zj8nj7OWdRH+g30Erhl5mrKEimSNKzslpUkSWoQgztJkqQGsVtWkqRhMNDYNWmk2HInSZLUIAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgBneSJEkNYnAnSZLUIB1b5y4itgROAH4GbA48mJnHR8SmwELKhtpbA0dn5v31nCOB6ZS9GS/OzPNr+vaUbXruAGYC8zLziYjYEFgM3FuvtTAzb+3UPUmSJI11nWy52xT4WmYuyszDgH3rZtwLgB9m5kLgO5TgjIjYGZiTmccCHwROiYhNImIScC5wbGYuANYAB9bnOBy4OzNPAk4Fzuzg/UiSJI15HQvuMvPazDyvx3M9DMwFlta0K+tjgL270zPzceAWYDdgC2CjzLyvl3PmtpxzI7BdREzvyA1JkiSNAyOy/VhE7ANclJm/jIiZwKp6aCUwIyKmULpbb2k5bWVNW9aSvzWd+n9vx1b2VZYZM6YyZcrkIdzN03V1TRvW601kY/W1HKvl6qSJeM+S1AQdD+4iYg4wh9KFCvAAMA1YQRlft7yOn+tO7za95u0rnQGO9Wr58kfW7Ub60NU1jWXLVg2cUW0Zi6/lRHyPm3bPBqqSJpKOzpaNiLnAXsBhwGYRMRtYAsyuWXapjwEu6E6vLXnbApdTJl6sjojNejlnScs5s4CfZ2afrXaSJElN18nZsjsCXweuAy4FNgZOB44GTo6IbYAtgXkAmXl1RFwaEQsos2WPyMwV9Vr7ASdGxF3AZOCc+jSnAYsj4hhgK+DgTt2PJEnSeNCx4C4zrwee2cfh9/RxzqI+0m+gl8AtM1dTlkiRJEkSLmIsSZLUKAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgBneSJEkN0lZwFxGf6HRBJEmSNHTtrnO3d0S8BPgR8NXMfLSDZZIkSdI6ardb9oDM3A+4Bzg9IhZGxJYdLJckSZLWQbstd907iN8OrKDsMLFdRDwA/L+6G4UkSZJGWbstd2dFxBLgCuARYPvMfCMlyDuqU4WTJEnS4LTbcvd84DjgbzPz8R7pLx3uQkmSJGndtBvcHZiZV3U/iIjJmbkmM+8AXtGZokmSJGmw2u2WPTgiLmh5/JWIeEsnCiRJkqR1125wt35m7t3yeF/A4E6SJGmMaTe4e6D1QWauBX4//MWRJEnSULQ75u45EfF+4EpgLbAr8OyOlUoT1kELL+n3+Fnz9xihkkiSND6123J3BLAzcHH9t1NNkyRJ0hjSVstdZj4I7NeaVneoeLAThZIkSdK6aSu4i4jJwB7Ac3iytW8/4PUdKpckSZLWQbtj7i4ApgO/BtbUtOd3pESSJElaZ+0Gd9Myc5fWhIhwZLskSdIY0+6Eih/VMXatthnuwkiSJGlo2m25OwCYHxG/Ax4DJgEzgDM6VTBJkiQNXrvB3f8Au7c8ngQcN9yFkSRJ0tC0G9ztlZmPtCZExLs6UB5JkiQNQbvB3TMj4nPARsC7gE8B84HlnSqYJEmSBq/dCRWLgMuBxzLzYcpYu092rFSSJElaJ+0Gd/dm5pnAHwAy87+AFR0rlSRJktZJu92yz6r/rwWIiI2BnkujSFJjRMRmwAnAdpm5U017J3AI8GjNdmZm/ns9th+wA2Wh919n5udr+ouBY4HbgBcDH8rMP0TEesACypfmF9VrXTUiNyep0dptufthRPwCeF1ELAFuB77WuWJJ0qjbFTiPsjpAq30zc/f6rzuw2xyYB8zLzA8D746IrWv+M4DPZ+ZJwC+Ao2r624HpmXlCTftS3epRkoakrZa7zPxmRPw38FpKRXdEZmZHSyZJoygzvxURu/dy6H0RcR8wFfhsZj4E7AVcn5lra56lwBsj4k5gDnBtTb8S+AKlJW8ucHF9roci4lHg5cB/d+SGpHV00MJL+j1+1nw3rBpr2u2WpQZzfw7oImKfzPzPjpRKksamy4AlmbksIt4EfBPYE5gJrGrJt7KmPRtY3RL0dafTzzn9mjFjKlOmtNfA19U1ra18nWY5mm2or+tYeV+aVI62gruIOKuX5J0BgztJE0Zm3tHy8BLg/NqV+gCwVcux6ZQxdr8DNoqISTXAm17zUv+f1uOcBxjA8uWPDJQFKB8Qy5atGjhjh1mO5hvK6zpW3pexXI51CfbaHXP3Aso31suAnwKPAN8b9LNJ0jgWESdFRPeX4q2BOzJzDXARsGNEdI/Pmw1cmJmPA5cCO9X0XYAl9eclNR8RsSmwIXBT5+9CUtO12y17UGbe05oQEQs7UB5JGhMi4jXA/sBzI+IY4BTgPuBzEXEHMKseJzP/JyIWA6dGxBrgC5n5q3qpQ4CPRcTrgRcCR9T0bwA7RMTHa/oBNVCUpCFpN7ibFBEvrD+vBzwX+OvOFEmSRl9mdvdWtDqtn/znAuf2kn4ncFAv6X/iyZmzGicGmlwgjQXtBnc3Ag9SZsquBX6LO1RIkiSNOe0Gdx/PzE93tCSSJEkasnYnVPQ5PSsiDhmmskiSJGmI2m25+1hE7NtL+iTKjLEzhq9IkiRJWlftBnffBn4PXFEf70qZtr+EJ2d+SZIkaZQNZoeKY1seXhwRn8rMyyLitt7yu+m2JEnSyGs3uJsVERtk5h8BIuIZlECMzLy3j3O6N93evkf6vnVpgD9r2XR7h8xcGxHXRsQldZ2oM4CPZeY1EfF+ytIBx/Lkptvz6wKgV0XEyybKOlFOx5ckSb1pd0LFt4G7IuL8iDgPuAP4Vn8nZOa3eOq+id3eFxHzIuJjNSiDvjfdXp+nb7o9t/48t+ajbtzdvem2JEnShNVWy11mfiYiLqUEWpOAYzLzxnV4vnG16Xa7xspmwxPBaL3WE/E9noj3LElN0PaYO0rL2C3Ajyk7VAzaeNp0u11jZbPhiWI0XuuJ+B437Z4NVCVNJG11y9aJEBcBH6G03J1aJ0AMiptuS5IkdVa7LXevpgRjp9eA6+8j4nR62Uexm5tuS5Ikjbx2g7v7MvNPEdGa9qf+TnDTbUmSpJHXbnDXFRHvADaJiJ2A1wObDnCOJEmSRli7S6EcBbwBeC3wPSCAD3SqUJIkSVo37bbc7Q+cnZkHdLIwkiRJGpp2W+6OBO7pZEEkSZI0dO0Gd1cAv25NiIgDh784kiRJGop2u2VXAVdExI+Bx2ram4BzOlEoSZIkrZt+W+4i4l8iYjplIsXFwB8pixhP6u88SZIkjY6BWu4ey8yVdfuvf249UBcbliRJ0hgyUHAXEXEQcFtE9Jwpu1uHyiRJkqR1NFBwtwA4ANgcmNPj2PM7UiJJkiSts36Du8z8CfCTiHhrZn679VhEvLWjJZMkSdKgtTVbtmdg11ea1GkHLbykz2Nnzd9jBEsiSdLY1O46d5IkSRoHDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUEM7iRJkhrE4E6SJKlBDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUEM7iRJkhrE4E6SJKlBDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUGmjHYBJEnS+HXQwkv6PHbW/D1GsCTqZsudJElSgxjcSZIkNYjBnSRJUoM45k6SehERmwEnANtl5k41bUNgMXAvsDWwMDNvrcf2A3YA1gC/zszP1/QXA8cCtwEvBj6UmX+IiPWABcAfgBcBZ2bmVSN2g+pVf+PHpPHCljtJ6t2uwHnApJa0w4G7M/Mk4FTgTICI2ByYB8zLzA8D746Ires5ZwCfr+f8Ajiqpr8dmJ6ZJ9S0L0XE5A7fk6QJwOBOknqRmd8CVvVIngssrcdvBLaLiOnAXsD1mbm25lsKvDEi1gfmANfW9CvrNXpe6yHgUeDlnbkbSROJ3bKS1L6ZPDXgW1nT+kp/NrC6JejrTu/vWv2aMWMqU6a018DX1TWtrXydZjkmrnZe87HyvjSpHAZ3ktS+B4DWmnd6TXsA2KpH+m3A74CNImJSDfC68/d3rX4tX/5IWwXt6prGsmU9Gx5HnuWY2AZ6zcfK+zKWy7EuwZ7dspLUviXAbICImAX8PDNXAhcBO0ZE9/i82cCFmfk4cCmwU03fpV6j57U2BTYEbhqJm5DUbLbcSVIvIuI1wP7AcyPiGOAU4DRgcX28FXAwQGb+T0QsBk6NiDXAFzLzV/VShwAfi4jXAy8Ejqjp3wB2iIiP1/QDMnPNCN2epAYzuJOkXmTmZcBlvRx6bx/5zwXO7SX9TuCgXtL/xJMzZyVp2NgtK0mS1CAda7lzAVBJkqSR18mWOxcAlSRJGmEdC+5cAFSSJGnkjfSEinG1AGi7xsrChxNdJ9+HifgeT8R7lqQmGOngbtzWwv5UAAAS5klEQVQsANqusbLwoQZeLHNdTcT3uGn3bKAqaSIZ6dmyLgAqSZLUQZ2cLesCoJIkSSOsY8GdC4BqpB208JJ+j581f48RKokkSaPHRYwlSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUEM7iRJkhrE4E6SJKlBDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUEM7iRJkhrE4E6SJKlBpox2AdS7gxZeMtpFkCRJ45Atd5IkSQ1icCdJktQgBneSJEkNYnAnSZLUIAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgLmIsSZI6YqAF+b97yt+MUEkmFlvuJEmSGsTgTpIkqUHslpUkTRju262JwJY7SZKkBjG4kyRJahCDO0mSpAYxuJMkSWoQgztJkqQGMbiTJElqEJdC0YQx0BIIZ83fY4RKIklS59hyJ0mS1CAGd5IkSQ1icCdJktQgBneSJEkNYnAnSZLUIM6WlaRBioirgEfrwzWZuWdEbAosBG4HtgaOzsz7a/4jgenADODizDy/pm8PvBe4A5gJzMvMJ0b0ZiQ1jsGdJA3e9zPzuB5pC4AfZuY3IuLNwGJg/4jYGZiTmW+KiPWBmyPicuD3wLnAazPzvog4BTgQOHPkbkNSE9ktK0mDNysijoqI4yJibk2bCyytP19ZHwPs3Z2emY8DtwC7AVsAG2Xmfb2cI0nrzJY7SRq8kzPzmoiYDFweEaso3aqr6vGVwIyImFLTb2k5d2VNW9aSvzW9XzNmTGXKlMltFbKra1pb+TrNcqg/Y+V9aVI5DO4kaZAy85r6/5qIuAKYAzwATANWUMbXLc/MJyKiO73b9Jq3r/R+LV/+SFtl7OqaxrJlqwbO2GGWQwMZC+/LWPn96K0c6xLsjVpw54BkSeNRRLwU2CUzu8fGbQ18G1gCzAbuAXapjwEuAD5ez50CbAt0j7lbHRGb1a7Z1nMkaZ2NZsudA5IljUcrgb0j4nmUL5z3AF8FLgROjohtgC2BeQCZeXVEXBoRCyhfTo/IzBUAEbEfcGJE3AVMBs4Z8buR1DijGdzNioijgI2AazNzCWUw8Yn1+JU8WdE9ZUByRHQPSL6Jpw9I3g+DO0kdkpm/Afbp5dBDwHv6OGdRH+k3AAcPX+kkaXSDu1EZkDyYwcjtGiuDMDU0/b2PE/E9noj3LElNMGrB3WgNSG53MHK7xsogTA1dX+/jRHyPm3bPBqqSJpJRWecuIl4aEa1dEVsDt/HkgGR4+oDk2fXc1gHJt1MHJPdyjiRJ0oQzWi13DkiWJEnqgFEJ7hyQLEmS1BluPyZJktQg7lAhSZJGxZs/dF6/x8+av8cIlaRZDO6k6qCFl/R5zApGGj/6+1uWJgK7ZSVJkhrE4E6SJKlBDO4kSZIaxOBOkiSpQQzuJEmSGsTgTpIkqUEM7iRJkhrEde5GkWsxSZKk4WbLnSRJUoMY3EmSJDWIwZ0kSVKDGNxJkiQ1iMGdJElSgxjcSZIkNYjBnSRJUoO4zp3UhoHWJDxr/h4jVBJJkvpny50kSVKD2HInSZLGJHtN1o3BnSRpXHHrRql/dstKkiQ1iMGdJElSgxjcSZIkNYjBnSRJUoMY3EmSJDWIs2WlYeB0fUnSWGHLnSRJUoMY3EmSJDWIwZ0kSVKDGNxJkiQ1iBMqJEnSuNTfZLaJPJHN4E6SNKa4d6w0NAZ3HWQFJUmSRprBnTQC7DqQJI0UJ1RIkiQ1iMGdJElSg9gtK40yty6TJA0ngztJ0ohzwpk6bSJ/cbZbVpIkqUFsuZPGuIn87VOSNHjjPriLiNcCbwUeANZm5j+PcpGkEWXwN741tQ6z21VjXZPrznEd3EXEVOAM4OWZ+VhE/EdE7JmZPxqJ57fy0njgGntj12jXYZKaaVwHd8Bs4K7MfKw+vhKYC1gxSm0Y6hcUg8MhG7N1mF9eNdEN5W9gtOvG8R7czQRWtTxeWdP61NU1bdJwPfl3T/mb4bqUpImpo3VYV9e0dSyW9Zs0Wobyd9ttvM+WfQBofRWm1zRJGg+swyQNu/Ee3C0FXhQRz6iPdwGWjGJ5JGkwrMMkDbtJa9euHe0yDElEvA74e2AZ8HhTZppJmhiswyQNt3Ef3EmSJOlJ471bVpIkSS0M7iRJkhpkvC+FMuIi4irg0fpwTWbuGRGbAguB24GtgaMz8/7RKuNQRcRmwAnAdpm5U03bEFgM3Eu5x4WZeWs9th+wA7AG+HVmfn5UCr6O+rjfdwKH8OR7fWZm/ns9Nt7vd0vK/f4M2Bx4MDOP7+/3OCKOpMzknAFcnJnnj0rhRUSsB3wXuBrYANgSOCgzV7fkObOmd3sF8JeZeWdE3AncWdPvzcz/M4SybFTLcXFmzuulnAuAPwAvovwNXVWPDeuuHAOU453AXwG/Bv4S+Exm/rQee1p93sFy7A58GlhRk5Zk5qJ6bCRfj+OA1wGP16RtgHdk5o878Hr0e72R+lxpoxxHAZsB9wE7Ah/LzF/WY3cyfH8vA5XjnQzT547B3eB9PzOP65G2APhhZn4jIt5M+WXdf8RLNnx2Bc4Dtm9JOxy4OzM/GRGzgDOBV0fE5sA8YIfMXBsR10bEJZn5q5Ev9jrr7X4B9s3MO1sTGnK/mwJfy8zzACLi5ohYAryHXn6PI2JnYE5mviki1gdujojLM3NFn8+gTluamScARMR5lMDgyy3HL87Mr9fj04GzW36Xz+6lDltXJwD/1cextwPTM3N+/eJwVUS8DHgGw78rR3/leD5weGY+Wn+XvwDMqsd6q8+Hor9yUMvx49aEDu1S0l85rgMWZebDNQD/HnBZPTbcr8dA1xupz5WByvFM4Ij6XP8ALALeXI8N599LO6/vsHzuGNwN3qwa5W8EXJuZSygryp9Yj18JnDNahRsOmfmt+i2z1Vzg6Hr8xojYrn5o7AVcn5ndM3OWAm8Exk2w08f9ArwvIu4DpgKfzcyHaMb9XtsjaT3gYfr+Pd6bcp9k5uMRcQuwG2Dr3SjIzD9RPryJiCmU1tfskefrLQ8PBs5qebxbRHyYsr7ehd2tWIMVEftTfk9eQflw7GkucHEtz0MR8SjwcqCLYdyVY6ByZOaJLQ/Xo7QkduutPl8nbbweUL4svZLSCv5vmXkPw7xLSRuvxwUtD/8GuKClPhu216PN643U50q/5cjMY1se9vwdGZa/l3bKUQ3L545j7gbv5Mw8GfgEcHRE7MZTV5lfCcyolW6T9LWS/qBX2B8nLqO814sp33S/WdMbdb8RsQ9wUe2C6Ov3uFH33BQRsRdwAeXD+bo+8qxH+WBo/RCZn5mfBE4CzoqIrdbhubcFXpaZ3+4nW8frjDbL0Z13EnAYcERLcm/1eafKcTPwiVqnfB34QX1/RuX1qN4JnN3yeFhej0Fcb6Q+V9q6r4jYADgQOKYlech/L4Mox7B97hjcDVJmXlP/XwNcAczhqavMTweWZ+YTo1PCjulrJf1GrrCfmXdk5rL68BLgNRExmQbdb0TMofz+frAm9fV73Jh7bpLMvCgz3wC8JCIO7SNbz5aZ1jrsEeAGysLJg7UP8GhEzKcMa3hVRBzeI89I1BntlKM7sFtE6WJb2p3eR33ekXJk5gPd3W2ZeROwCfACRuH1AIiI7YFbM/PPrVTD+Hq0e70R+Vxp575qYPc54KOZ+etezh3K30tb5RjOzx2Du0GIiJdGxMEtSVsDt1G+Fc+uaU1dYf7P91jHRvw8M1cCFwE71sqTmufC0Sni8ImIk1paX7cG7qh/kI2434iYS2nROQzYLCJm0/fv8QU8+d5PAbYFLh/RAuvPImLb+v51uwPYIiI2rV1ard5JS8tMROwZEW9oOb4VZaLBoGTmiZl5fGYuBH4CXJOZn46IjSOiq2ZrrTM2BTYEbmIYd+Vopxz1w/E04LuZ+f2I+Lua3ld93qlydI897H49NgDuZ4RfjxbvBz7b/WA4X4/+rtfj97TjnyvtlCPKBJTPA5/KzOtbfkeG5e9lEOUYts8dFzEehIh4HnA6ZZbhdGB9ShP/JsDJwF2UGWrzc3zPln0NcADwBso3mVPqocXAbym/4AvyqbOaXkmZxXNrjr/Zo73d7z8Cf0H54JwFnJZPzvQb7/e7I6X5v7srb2PK7/X59PF7HGW27Iz678J0tuyoiTLbeRGlHlofeBnwAUpd9FD9YO9umfk/mXlky7mzgOOA64HnUWb/nTSEsvwd8F5KoHI6ZbLOrMw8pHY5ngQ8AryQMsas+29oWHflGKAcn6rPdXvNvmVmvqCv+ryOaexEOfaljDG7mfIF6WvdY65G8vWox58DnJKZ+7WcM6yvRz+flwupv6c1qOro50qb5fg2pb7/TT1t48zcaTj/Xtosx2EM0+eOwZ0kSVKD2C0rSZLUIAZ3kiRJDWJwJ0mS1CAGd5IkSQ1icCdJktQgBncaFRHxk4j4i0Gec0hE/CZ63ypsXcrw6YgY9uniEfHCiDg/In483NeW1BkRcehw1i/1mttFxGUD53zKORtFxJejbFg/HGXYISIujYizh+N6Pa79DxGRUTa81xhicKfR8g7Kek9ty8wzgFuHqwCZ2evK7cNw3buBT3Xi2pI6IzP/hWGsX6pfAPsPshyrgY8OVwEy87/o0H7nWfYwXjpgRo24pu1/qnGgLrB5AnByRHyTsvr25sCXgD0pmzbvnWWT+ucDXwR+R1nN/Rkt19mUsuju74DNgMsz84sR8QngI/Xf5cC5lG2HWjcQ761c21EWlfwN8GLg05Q9/L5MWTjyn+pzfRm4PTMPjIi3A68DHgSeDxyZmfcN6QWSNOoi4tmUL2n3A8+lLN795Xrs74HDgf8Gfk9ZMHhhZi7ocZmTgCOBSRHxVsqCvZdSFg7fHvh0/dLaes1fAnf3KMscyp6nv6XUTR8HngD+jbIg8l7AmykLIc/LzB8NcG8fALYBVlMW4f8g8DbgX4CvZuZBEfE24ERKPfo9Sl27GvhfwF1DWfxanWfLnUZcZv4HcHX9+WFgP0pgdG5m7kLZQ2+Pmv00ysb276BstvzylkudBlyWmR8B3g0cGxHbZOaxlEp0B2Aj4LNtBHbrA/8BHFOvdyzwDUpFexSwNjN/Vlvl7gDeHRFBqWT/KTPnU3Z9+OQQXhpJY8dpwPV1h493ASdExKyImEkJqt6WmYdStqN6qJfAjsz8cMvP36Z8gd0C+N/AWyj1Bz2u+W6e3CmBiHgW5Qvue2vddCbwhcy8vV7jD5Tgcybwt20EdnsCb8nM99V7ux/4cGZ+Efg2T+5c81Pg/FpfHw08kJlH1V0u5tbraIyy5U5jxe+6t52hVJbPqT/vQdmehcx8KCJuajnnjcAGEbFrfXwX5VvtrcDHKJXU/JpvIEEJMD9aYjagbAW0KfBD4N/qGMHfA7+trYqvo+yX+S/1nGm0tCxKGtfeAJwKUP/er6e0kN1K2YbqtzXfFYO87lWZuTYiWuu5v+rnmrOBqcAptZ55BjC5luvhiHgX8F3gI5l5VxvP/0bg2RFxRn38bEqLIJTAcRGlBe+dPLkv8RuBB1rOeRh4QVt3q1FhcKex4rGWn9fw1Fbl/iY9fCozrwaoG2//CSAz/xgR11AqpZmUb6f9mVTPO6Q7ISI2Bh6pFfEXgYOB5TxZ4U2i7PHXes4zB3geSePDWp5a90yqjyfRf500kMcAMnNNy0bw/V1zEvBgP/XMXZT6bRfgDAY2CViamf+3XmsSJXiE0mW8SUTsAGzb0uMxCTinjrHr7umw528M883RWHcJMAcgIjbhqd2y3wde3/L4K5TNnYmI/SnfZj9L6e4YyC+B+yLi1fX8jShjbLor3C9SJoG8NDNvqWk/AF4ZEdPqOTtQv+lLGve+D+wKfw5m/hK4mDKB4AUR8dyab9feTx+U/q75U2BmRLy4luU5QHeQNYnStftqYLs6rm8gFwJzIqK7cedvKWP9qPXdFyl15o97nNNa1y6mbGKvMWrS2rXDvhKE1K+WCRX3UiYwfAjYh9KFmpSA7F7g/wKPUCqb+ymTGXajDDY+rB77DPAQ5YvK0sz8UkQcBryf0q3wPMoEiG8B765j/LrLcUp9/kWZ+eGI2B44ntItvAlwemZe15L/IuBrdWxKd9q+wL4t53yYMlj6NOBVwHGZ2U5wKWkURcQhlLG21wDvo7SwncqTE7Yu6GVCxX9R6p//nZnb9HLNT1ImVCwC/pNSLwAcQun2PRE4PjM/3mOSxopahoWZuaCObzsMuA2YQRl/vAL4V0rX7hzKmOG/Bo7tnqRRy7A9JRh7PmVM8X9ExOE17z2UoSUfysxHa/7NgZuAzTNzVU2bWl+L9SiTKu7OzMV10sXx1Lo8M/97sK+7OsPgTpKkQYiIN2Xm9+rPc4EDM/Pto1ws6c8ccydJ0uC8OSLeQuk9eB4wb5TLIz2FLXeSJEkN4oQKSZKkBjG4kyRJahCDO0mSpAYxuJMkSWoQgztJkqQGMbiTJElqkP8Pwb1+SUUNf6MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n",
    "ax1.hist(paths[-1], bins=30)\n",
    "ax1.set_xlabel('index level')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax1.set_title('regular data')\n",
    "ax2.hist(np.log(paths[-1]), bins=30)\n",
    "ax2.set_xlabel('log index level')\n",
    "ax2.set_title('log data')\n",
    "# plt.savefig('../../images/ch13/stat_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "9e7b6096-9d21-4199-882b-b38f760fc72e"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic           value\n",
      "------------------------------\n",
      "          size    250000.00000\n",
      "           min        42.74870\n",
      "           max       233.58435\n",
      "          mean       105.12645\n",
      "           std        21.23174\n",
      "          skew         0.61116\n",
      "      kurtosis         0.65182\n"
     ]
    }
   ],
   "source": [
    "print_statistics(paths[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "b9b2eab0-7788-48f7-b4b2-c3f1e263f0b6"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic           value\n",
      "------------------------------\n",
      "          size    250000.00000\n",
      "           min         3.75534\n",
      "           max         5.45354\n",
      "          mean         4.63517\n",
      "           std         0.19998\n",
      "          skew        -0.00092\n",
      "      kurtosis        -0.00327\n"
     ]
    }
   ],
   "source": [
    "print_statistics(np.log(paths[-1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "7bd3a6dc-ca9f-4878-bf30-27127547b952"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Skew of data set          -0.001\n",
      "Skew test p-value          0.851\n",
      "Kurt of data set          -0.003\n",
      "Kurt test p-value          0.744\n",
      "Norm test p-value          0.931\n"
     ]
    }
   ],
   "source": [
    "normality_tests(np.log(paths[-1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "fbe45821-3fda-4924-9b65-b7aae6004ae6"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "log_data = np.log(paths[-1])\n",
    "plt.hist(log_data, bins=70, normed=True,\n",
    "         label='observed', color='b')\n",
    "plt.xlabel('index levels')\n",
    "plt.ylabel('frequency')\n",
    "x = np.linspace(plt.axis()[0], plt.axis()[1])\n",
    "plt.plot(x, scs.norm.pdf(x, log_data.mean(), log_data.std()),\n",
    "         'r', lw=2.0, label='pdf')\n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch13/stat_05.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "1db3cb57-4537-4e8c-96ca-9a96cb35bf99"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.qqplot(log_data, line='s')\n",
    "plt.xlabel('theoretical quantiles')\n",
    "plt.ylabel('sample quantiles');\n",
    "# plt.savefig('../../images/ch13/stat_06.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Real World Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "uuid": "2fac84d1-67fd-4345-a9b8-58e8e20b6ea6"
   },
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n",
    "                 index_col=0, parse_dates=True).dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "uuid": "8c2cddba-d3fc-4e22-8b22-b0a6dcf61f16"
   },
   "outputs": [],
   "source": [
    "symbols = ['SPY', 'GLD', 'AAPL.O', 'MSFT.O']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "eaa5651f-3c91-4f0f-9941-b564e4b7dbe1"
   },
   "outputs": [],
   "source": [
    "data = raw[symbols]\n",
    "data = data.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "e4574de5-c00f-4665-b341-dad771d24d8e"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2138 entries, 2010-01-04 to 2018-06-29\n",
      "Data columns (total 4 columns):\n",
      "SPY       2138 non-null float64\n",
      "GLD       2138 non-null float64\n",
      "AAPL.O    2138 non-null float64\n",
      "MSFT.O    2138 non-null float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 83.5 KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "uuid": "f2acb16d-fd16-4008-95a7-5213e3df3a9e"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SPY</th>\n",
       "      <th>GLD</th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>MSFT.O</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>113.33</td>\n",
       "      <td>109.80</td>\n",
       "      <td>30.572827</td>\n",
       "      <td>30.950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>113.63</td>\n",
       "      <td>109.70</td>\n",
       "      <td>30.625684</td>\n",
       "      <td>30.960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>113.71</td>\n",
       "      <td>111.51</td>\n",
       "      <td>30.138541</td>\n",
       "      <td>30.770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>114.19</td>\n",
       "      <td>110.82</td>\n",
       "      <td>30.082827</td>\n",
       "      <td>30.452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>114.57</td>\n",
       "      <td>111.37</td>\n",
       "      <td>30.282827</td>\n",
       "      <td>30.660</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               SPY     GLD     AAPL.O  MSFT.O\n",
       "Date                                         \n",
       "2010-01-04  113.33  109.80  30.572827  30.950\n",
       "2010-01-05  113.63  109.70  30.625684  30.960\n",
       "2010-01-06  113.71  111.51  30.138541  30.770\n",
       "2010-01-07  114.19  110.82  30.082827  30.452\n",
       "2010-01-08  114.57  111.37  30.282827  30.660"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "d4cf7b80-4be5-48d6-b669-acf6c9784941"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1c3e60ff98>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "(data / data.ix[0] * 100).plot(figsize=(10, 6))\n",
    "# plt.savefig('../../images/ch13/stat_07.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "8caf3129-34cb-4ce0-a53b-bef84d3db2dc"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SPY</th>\n",
       "      <th>GLD</th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>MSFT.O</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>0.002644</td>\n",
       "      <td>-0.000911</td>\n",
       "      <td>0.001727</td>\n",
       "      <td>0.000323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>0.000704</td>\n",
       "      <td>0.016365</td>\n",
       "      <td>-0.016034</td>\n",
       "      <td>-0.006156</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>0.004212</td>\n",
       "      <td>-0.006207</td>\n",
       "      <td>-0.001850</td>\n",
       "      <td>-0.010389</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>0.003322</td>\n",
       "      <td>0.004951</td>\n",
       "      <td>0.006626</td>\n",
       "      <td>0.006807</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 SPY       GLD    AAPL.O    MSFT.O\n",
       "Date                                              \n",
       "2010-01-04       NaN       NaN       NaN       NaN\n",
       "2010-01-05  0.002644 -0.000911  0.001727  0.000323\n",
       "2010-01-06  0.000704  0.016365 -0.016034 -0.006156\n",
       "2010-01-07  0.004212 -0.006207 -0.001850 -0.010389\n",
       "2010-01-08  0.003322  0.004951  0.006626  0.006807"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns = np.log(data / data.shift(1))\n",
    "log_returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "f6fefbe1-3ec6-4d1b-b774-9db3f3c38c83"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_returns.hist(bins=50, figsize=(10, 8));\n",
    "# plt.savefig('../../images/ch13/stat_08.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "5e6f48e5-68f2-44ec-ad92-635ad3c249ec"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Results for symbol SPY\n",
      "------------------------------\n",
      "     statistic           value\n",
      "------------------------------\n",
      "          size      2137.00000\n",
      "           min        -0.06734\n",
      "           max         0.04545\n",
      "          mean         0.00041\n",
      "           std         0.00933\n",
      "          skew        -0.52189\n",
      "      kurtosis         4.52432\n",
      "\n",
      "Results for symbol GLD\n",
      "------------------------------\n",
      "     statistic           value\n",
      "------------------------------\n",
      "          size      2137.00000\n",
      "           min        -0.09191\n",
      "           max         0.04795\n",
      "          mean         0.00004\n",
      "           std         0.01020\n",
      "          skew        -0.59934\n",
      "      kurtosis         5.68423\n",
      "\n",
      "Results for symbol AAPL.O\n",
      "------------------------------\n",
      "     statistic           value\n",
      "------------------------------\n",
      "          size      2137.00000\n",
      "           min        -0.13187\n",
      "           max         0.08502\n",
      "          mean         0.00084\n",
      "           std         0.01591\n",
      "          skew        -0.23510\n",
      "      kurtosis         4.78964\n",
      "\n",
      "Results for symbol MSFT.O\n",
      "------------------------------\n",
      "     statistic           value\n",
      "------------------------------\n",
      "          size      2137.00000\n",
      "           min        -0.12103\n",
      "           max         0.09941\n",
      "          mean         0.00054\n",
      "           std         0.01421\n",
      "          skew        -0.09117\n",
      "      kurtosis         7.29106\n"
     ]
    }
   ],
   "source": [
    "for sym in symbols:\n",
    "    print('\\nResults for symbol {}'.format(sym))\n",
    "    print(30 * '-')\n",
    "    log_data = np.array(log_returns[sym].dropna())\n",
    "    print_statistics(log_data)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "83fc3d8b-03c4-43bc-a7a3-b7ac0747c2b1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.qqplot(log_returns['SPY'].dropna(), line='s')\n",
    "plt.title('SPY')\n",
    "plt.xlabel('theoretical quantiles')\n",
    "plt.ylabel('sample quantiles');\n",
    "# plt.savefig('../../images/ch13/stat_09.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "a6e1cee5-aebc-4c63-8ce4-100562f31859"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.qqplot(log_returns['MSFT.O'].dropna(), line='s')\n",
    "plt.title('MSFT.O')\n",
    "plt.xlabel('theoretical quantiles')\n",
    "plt.ylabel('sample quantiles');\n",
    "# plt.savefig('../../images/ch13/stat_10.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "uuid": "bce2aa32-77f9-4d5a-9a81-1a37b6b90001"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Results for symbol SPY\n",
      "--------------------------------\n",
      "Skew of data set          -0.522\n",
      "Skew test p-value          0.000\n",
      "Kurt of data set           4.524\n",
      "Kurt test p-value          0.000\n",
      "Norm test p-value          0.000\n",
      "\n",
      "Results for symbol GLD\n",
      "--------------------------------\n",
      "Skew of data set          -0.599\n",
      "Skew test p-value          0.000\n",
      "Kurt of data set           5.684\n",
      "Kurt test p-value          0.000\n",
      "Norm test p-value          0.000\n",
      "\n",
      "Results for symbol AAPL.O\n",
      "--------------------------------\n",
      "Skew of data set          -0.235\n",
      "Skew test p-value          0.000\n",
      "Kurt of data set           4.790\n",
      "Kurt test p-value          0.000\n",
      "Norm test p-value          0.000\n",
      "\n",
      "Results for symbol MSFT.O\n",
      "--------------------------------\n",
      "Skew of data set          -0.091\n",
      "Skew test p-value          0.085\n",
      "Kurt of data set           7.291\n",
      "Kurt test p-value          0.000\n",
      "Norm test p-value          0.000\n"
     ]
    }
   ],
   "source": [
    "for sym in symbols:\n",
    "    print('\\nResults for symbol {}'.format(sym))\n",
    "    print(32 * '-')\n",
    "    log_data = np.array(log_returns[sym].dropna())\n",
    "    normality_tests(log_data)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolio Optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "uuid": "74a583b1-1e85-4efa-adf0-c70377606aa6"
   },
   "outputs": [],
   "source": [
    "symbols = ['AAPL.O', 'MSFT.O', 'SPY', 'GLD']  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "uuid": "74a583b1-1e85-4efa-adf0-c70377606aa6"
   },
   "outputs": [],
   "source": [
    "noa = len(symbols)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "23729711-44d9-49a9-9c10-8d238be308cb"
   },
   "outputs": [],
   "source": [
    "data = raw[symbols]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "e7e3d4af-6b03-4b05-9bb2-69132aa9b96d"
   },
   "outputs": [],
   "source": [
    "rets = np.log(data / data.shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "2bd5a671-fb77-4c78-90d9-bef99c34af86"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rets.hist(bins=40, figsize=(10, 8));\n",
    "# plt.savefig('../../images/ch13/stat_11.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "3416c8ac-7ee5-4c5d-a929-92aa2881382d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AAPL.O    0.212359\n",
       "MSFT.O    0.136648\n",
       "SPY       0.102928\n",
       "GLD       0.009141\n",
       "dtype: float64"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rets.mean() * 252  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "437bb447-a4b0-4ddc-97de-965d2cb6c9f2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>MSFT.O</th>\n",
       "      <th>SPY</th>\n",
       "      <th>GLD</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>AAPL.O</th>\n",
       "      <td>0.063773</td>\n",
       "      <td>0.023427</td>\n",
       "      <td>0.021039</td>\n",
       "      <td>0.001513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSFT.O</th>\n",
       "      <td>0.023427</td>\n",
       "      <td>0.050917</td>\n",
       "      <td>0.022244</td>\n",
       "      <td>-0.000347</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SPY</th>\n",
       "      <td>0.021039</td>\n",
       "      <td>0.022244</td>\n",
       "      <td>0.021939</td>\n",
       "      <td>0.000062</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GLD</th>\n",
       "      <td>0.001513</td>\n",
       "      <td>-0.000347</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.026209</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          AAPL.O    MSFT.O       SPY       GLD\n",
       "AAPL.O  0.063773  0.023427  0.021039  0.001513\n",
       "MSFT.O  0.023427  0.050917  0.022244 -0.000347\n",
       "SPY     0.021039  0.022244  0.021939  0.000062\n",
       "GLD     0.001513 -0.000347  0.000062  0.026209"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rets.cov() * 252  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Basic Theory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "uuid": "3d86ff5b-9de8-4cee-99ea-cc01e4697320"
   },
   "outputs": [],
   "source": [
    "weights = np.random.random(noa)  \n",
    "weights /= np.sum(weights)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "9d9499c0-c033-4d4a-b2d4-e8ef064eb9ae"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.07650728, 0.06021919, 0.63364218, 0.22963135])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true,
    "uuid": "9d9499c0-c033-4d4a-b2d4-e8ef064eb9ae"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "c9ec5dc3-df96-4418-90fe-0e76ed7b006d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.09179459482057793"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(rets.mean() * weights) * 252  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "40f68bdb-74ea-4f6d-9f93-c498a9a13167"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.014763288666485574"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(weights.T, np.dot(rets.cov() * 252, weights))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "351e317e-5f22-474b-b1a5-1f2934f608a1"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12150427427249452"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.sqrt(np.dot(weights.T, np.dot(rets.cov() * 252, weights)))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "def port_ret(weights):\n",
    "    return np.sum(rets.mean() * weights) * 252"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "def port_vol(weights):\n",
    "    return np.sqrt(np.dot(weights.T, np.dot(rets.cov() * 252, weights)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "689bff52-80a9-48ac-9fce-0855e2a763ae"
   },
   "outputs": [],
   "source": [
    "prets = []\n",
    "pvols = []\n",
    "for p in range (2500):  \n",
    "    weights = np.random.random(noa)  \n",
    "    weights /= np.sum(weights)  \n",
    "    prets.append(port_ret(weights))  \n",
    "    pvols.append(port_vol(weights))  \n",
    "prets = np.array(prets)\n",
    "pvols = np.array(pvols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "uuid": "81d7f822-79e9-41bb-94b1-649807788f2e"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(pvols, prets, c=prets / pvols,\n",
    "            marker='o', cmap='coolwarm')\n",
    "plt.xlabel('expected volatility')\n",
    "plt.ylabel('expected return')\n",
    "plt.colorbar(label='Sharpe ratio');\n",
    "# plt.savefig('../../images/ch13/stat_12.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Portfolio Optimizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "1fea02c0-d092-4a29-a9eb-2d4022985a62"
   },
   "outputs": [],
   "source": [
    "import scipy.optimize as sco"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "0124792d-7b7f-4f7c-ac42-367681a7145f"
   },
   "outputs": [],
   "source": [
    "def min_func_sharpe(weights):  \n",
    "    return -port_ret(weights) / port_vol(weights)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "a634bb6a-ef2e-4a68-9414-b2e320b58296"
   },
   "outputs": [],
   "source": [
    "cons = ({'type': 'eq', 'fun': lambda x:  np.sum(x) - 1})  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "40e6c1b4-8fb8-4a8f-b2ba-36ffdaefc47b"
   },
   "outputs": [],
   "source": [
    "bnds = tuple((0, 1) for x in range(noa))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "d689f1b3-c680-4a1e-865b-85a64b06c0f6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.25, 0.25, 0.25, 0.25])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eweights = np.array(noa * [1. / noa,])  \n",
    "eweights  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.8436203363155397"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min_func_sharpe(eweights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "dda15397-398b-445e-be6a-11e7ed0e3c32"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 45.4 ms, sys: 1.9 ms, total: 47.3 ms\n",
      "Wall time: 46.3 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "opts = sco.minimize(min_func_sharpe, eweights,\n",
    "                    method='SLSQP', bounds=bnds,\n",
    "                    constraints=cons)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "ee237054-2af4-4879-97d1-0ee77d84d9a8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     fun: -0.8976673894052725\n",
       "     jac: array([ 8.96826386e-05,  8.30739737e-05, -2.45958567e-04,  1.92895532e-05])\n",
       " message: 'Optimization terminated successfully.'\n",
       "    nfev: 36\n",
       "     nit: 6\n",
       "    njev: 6\n",
       "  status: 0\n",
       " success: True\n",
       "       x: array([0.51191354, 0.19126414, 0.25454109, 0.04228123])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opts  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "uuid": "e0a821b0-a330-4979-bec2-a9e731f11656"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.512, 0.191, 0.255, 0.042])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opts['x'].round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "faae2c2f-382b-427b-9426-87085a339b76"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.161"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(opts['x']).round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "faae2c2f-382b-427b-9426-87085a339b76"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.18"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_vol(opts['x']).round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8976673894052725"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(opts['x']) / port_vol(opts['x'])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "f84ed951-5f9b-4ec7-bb7c-330994bdb0b9"
   },
   "outputs": [],
   "source": [
    "optv = sco.minimize(port_vol, eweights,\n",
    "                    method='SLSQP', bounds=bnds,\n",
    "                    constraints=cons)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "76321897-4b6e-4714-965a-79bdd489b846"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     fun: 0.1094215526341138\n",
       "     jac: array([0.11098004, 0.10948556, 0.10939826, 0.10944918])\n",
       " message: 'Optimization terminated successfully.'\n",
       "    nfev: 54\n",
       "     nit: 9\n",
       "    njev: 9\n",
       "  status: 0\n",
       " success: True\n",
       "       x: array([1.62630326e-18, 1.06170720e-03, 5.43263079e-01, 4.55675214e-01])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "031a4259-ecec-4cf4-85cd-98515fe15a6c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.   , 0.001, 0.543, 0.456])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optv['x'].round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "uuid": "1859a17c-e501-4a6f-88ae-16b9cf10b308"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.109"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_vol(optv['x']).round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "uuid": "1859a17c-e501-4a6f-88ae-16b9cf10b308"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(optv['x']).round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5504173653075624"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(optv['x']) / port_vol(optv['x'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Efficient Frontier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "a49f6ebe-1552-400f-b97f-a26d1bd9fa2a"
   },
   "outputs": [],
   "source": [
    "cons = ({'type': 'eq', 'fun': lambda x:  port_ret(x) - tret},\n",
    "        {'type': 'eq', 'fun': lambda x:  np.sum(x) - 1})  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "a49f6ebe-1552-400f-b97f-a26d1bd9fa2a"
   },
   "outputs": [],
   "source": [
    "bnds = tuple((0, 1) for x in weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "75433eba-18d3-416a-95a9-c404293ef495"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.39 s, sys: 9.86 ms, total: 2.4 s\n",
      "Wall time: 2.41 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "trets = np.linspace(0.05, 0.2, 50)\n",
    "tvols = []\n",
    "for tret in trets:\n",
    "    res = sco.minimize(port_vol, eweights, method='SLSQP',\n",
    "                       bounds=bnds, constraints=cons)  \n",
    "    tvols.append(res['fun'])\n",
    "tvols = np.array(tvols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "b16fdf94-8324-481a-a360-ed2060b9f481"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1c23614e48>"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(pvols, prets, c=prets / pvols,\n",
    "            marker='.', alpha=0.8, cmap='coolwarm')\n",
    "plt.plot(tvols, trets, 'b', lw=4.0)\n",
    "plt.plot(port_vol(opts['x']), port_ret(opts['x']),\n",
    "         'y*', markersize=15.0)\n",
    "plt.plot(port_vol(optv['x']), port_ret(optv['x']),\n",
    "         'r*', markersize=15.0)\n",
    "plt.xlabel('expected volatility')\n",
    "plt.ylabel('expected return')\n",
    "plt.colorbar(label='Sharpe ratio')\n",
    "# plt.savefig('../../images/ch13/stat_13.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Capital Market Line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "b6eb023a-2407-49d7-986d-3d47e9c3ae45"
   },
   "outputs": [],
   "source": [
    "import scipy.interpolate as sci"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "cca0eb49-0c77-4186-a2df-06ebf56fa923"
   },
   "outputs": [],
   "source": [
    "ind = np.argmin(tvols)  \n",
    "evols = tvols[ind:]  \n",
    "erets = trets[ind:]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "uuid": "c3bf6d9e-0548-4874-90fc-0555f05afd5e"
   },
   "outputs": [],
   "source": [
    "tck = sci.splrep(evols, erets)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "uuid": "f37d6e01-0091-42d4-a9ca-1102f0fdb436"
   },
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    ''' Efficient frontier function (splines approximation). '''\n",
    "    return sci.splev(x, tck, der=0)\n",
    "def df(x):\n",
    "    ''' First derivative of efficient frontier function. '''\n",
    "    return sci.splev(x, tck, der=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "uuid": "e0a3d820-a9f1-41fa-a5bf-46fe176fdb68"
   },
   "outputs": [],
   "source": [
    "def equations(p, rf=0.01):\n",
    "    eq1 = rf - p[0]  \n",
    "    eq2 = rf + p[1] * p[2] - f(p[2])  \n",
    "    eq3 = p[1] - df(p[2])  \n",
    "    return eq1, eq2, eq3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "2c23eced-0b5a-45cd-b677-f4eff5876f43"
   },
   "outputs": [],
   "source": [
    "opt = sco.fsolve(equations, [0.01, 0.5, 0.15])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "f4c2c1e9-aef7-4d22-9e1c-3b7ff5066830"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.01      , 0.84470952, 0.19525391])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "uuid": "3651a6fa-7740-43fe-a18a-1134cbed7b0a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  0., -0.])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.round(equations(opt), 6)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "scrolled": false,
    "uuid": "b4e45542-14a5-4e96-9bbe-186873d9f429"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1c2357e588>"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(pvols, prets, c=(prets - 0.01) / pvols,\n",
    "            marker='.', cmap='coolwarm')\n",
    "plt.plot(evols, erets, 'b', lw=4.0)\n",
    "cx = np.linspace(0.0, 0.3)\n",
    "plt.plot(cx, opt[0] + opt[1] * cx, 'r', lw=1.5)\n",
    "plt.plot(opt[2], f(opt[2]), 'y*', markersize=15.0) \n",
    "plt.grid(True)\n",
    "plt.axhline(0, color='k', ls='--', lw=2.0)\n",
    "plt.axvline(0, color='k', ls='--', lw=2.0)\n",
    "plt.xlabel('expected volatility')\n",
    "plt.ylabel('expected return')\n",
    "plt.colorbar(label='Sharpe ratio')\n",
    "# plt.savefig('../../images/ch13/stat_14.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "f2e04c2a-434a-442d-bce2-0f7be60c6e80"
   },
   "outputs": [],
   "source": [
    "cons = ({'type': 'eq', 'fun': lambda x:  port_ret(x) - f(opt[2])},\n",
    "        {'type': 'eq', 'fun': lambda x:  np.sum(x) - 1})  \n",
    "res = sco.minimize(port_vol, eweights, method='SLSQP',\n",
    "                   bounds=bnds, constraints=cons)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "78362c70-0acf-4f13-9a7d-04adbc7de43a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.59 , 0.221, 0.189, 0.   ])"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res['x'].round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1749328414905194"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(res['x'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.19525371793918325"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_vol(res['x'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8959257899765407"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_ret(res['x']) / port_vol(res['x'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
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